The group &zdbl;p2 × &zdbl; q is a CI-group

I. Kovács; M. Muzychuk

doi:10.1080/00927870802504957

The group &zdbl;_p² × &zdbl; _q is a CI-group

I. Kovács
, M. Muzychuk

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

In this article it is proven that the group &zdbl;_p² × &zdbl;_q is a CI-group, that is two Cayley graphs over &zdbl;_p² × &zdbl;_q are isomorphic if and only if their connection sets are conjugate by an automorphism of the group &zdbl;_p² × &zdbl;_q.

Original language	English
Pages (from-to)	3500-3515
Number of pages	16
Journal	Communications in Algebra
Volume	37
Issue number	10
DOIs	https://doi.org/10.1080/00927870802504957
State	Published - 1 Oct 2009
Externally published	Yes

Keywords

CI-groups
Cayley graph isomorphism
Schur rings

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/00927870802504957

Cite this

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title = "The group \&zdbl;p2 × \&zdbl; q is a CI-group",

abstract = "In this article it is proven that the group \&zdbl;p2 × \&zdbl;q is a CI-group, that is two Cayley graphs over \&zdbl;p2 × \&zdbl;q are isomorphic if and only if their connection sets are conjugate by an automorphism of the group \&zdbl;p2 × \&zdbl;q.",

keywords = "CI-groups, Cayley graph isomorphism, Schur rings",

author = "I. Kov{\'a}cs and M. Muzychuk",

note = "Funding Information: The authors would like to thank an anonymous referee for valuable remarks. Research supported in part by “ARRS – Agencija za raziskovanje Republike Slovenije,” program no. P1-0285. The second author thanks for the support of the University of Primorska during his visit in April 2007.",

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AU - Muzychuk, M.

N1 - Funding Information: The authors would like to thank an anonymous referee for valuable remarks. Research supported in part by “ARRS – Agencija za raziskovanje Republike Slovenije,” program no. P1-0285. The second author thanks for the support of the University of Primorska during his visit in April 2007.

PY - 2009/10/1

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N2 - In this article it is proven that the group &zdbl;p2 × &zdbl;q is a CI-group, that is two Cayley graphs over &zdbl;p2 × &zdbl;q are isomorphic if and only if their connection sets are conjugate by an automorphism of the group &zdbl;p2 × &zdbl;q.

AB - In this article it is proven that the group &zdbl;p2 × &zdbl;q is a CI-group, that is two Cayley graphs over &zdbl;p2 × &zdbl;q are isomorphic if and only if their connection sets are conjugate by an automorphism of the group &zdbl;p2 × &zdbl;q.

KW - CI-groups

KW - Cayley graph isomorphism

KW - Schur rings

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DO - 10.1080/00927870802504957

M3 - Article

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